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Finding the Third Proportional to 333,646.50 and 787,283

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Solution

The third proportional to 333,646.50 and 787,283 is: 1,857,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,646.50 : 787,283 = 787,283 : x
  2. Step 2: Convert to fraction form
    333,646.50/787,283 = 787,283/x
  3. Step 3: Cross multiply
    333,646.50x = 787,283 × 787,283
  4. Step 4: Simplify right side
    333,646.50x = 619,814,522,089
  5. Step 5: Solve for x
    x = 619,814,522,089/333,646.50
  6. Step 6: Final answer
    x = 1,857,698.26

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.